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What is the Least Common Multiple of 6251 and 6268?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 6251 and 6268 is 39181268.

LCM(6251,6268) = 39181268

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Least Common Multiple of 6251 and 6268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6251 and 6268, than apply into the LCM equation.

GCF(6251,6268) = 1
LCM(6251,6268) = ( 6251 × 6268) / 1
LCM(6251,6268) = 39181268 / 1
LCM(6251,6268) = 39181268

Least Common Multiple (LCM) of 6251 and 6268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6251 and 6268. First we will calculate the prime factors of 6251 and 6268.

Prime Factorization of 6251

Prime factors of 6251 are 7, 19, 47. Prime factorization of 6251 in exponential form is:

6251 = 71 × 191 × 471

Prime Factorization of 6268

Prime factors of 6268 are 2, 1567. Prime factorization of 6268 in exponential form is:

6268 = 22 × 15671

Now multiplying the highest exponent prime factors to calculate the LCM of 6251 and 6268.

LCM(6251,6268) = 71 × 191 × 471 × 22 × 15671
LCM(6251,6268) = 39181268